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artcher [175]
3 years ago
15

Find the base of a parallelogram with height 6 5/8 and area 26 1/2 square feet

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
We know Area = (base)(height) 
<span>Rearrange the equation and solve for base: </span>
<span>base = area/ height </span>
<span>base = (26 1/2)/ (6 5/8) </span>
<span>base = 4 feet</span>
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3 0
3 years ago
What is the difference?
Serhud [2]

Answer:

The option \frac{(x+5)(x+2)}{x^3-9x} is correct

The difference of the given expression is

\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}

Step-by-step explanation:

Given expression is \frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})

To find the difference of the given expression as below :

\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})

=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})

=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})

=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})  

( using the formula a^2-b^2=(a+b)(a-b) )

=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}

=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)} (adding the like terms)

=\frac{x^2+7x+10}{x(x^2-9)} ( by factoring the quadratic polynomial )

=\frac{(x+5)(x+2)}{x^3-9x}

Therefore \frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}

Therefore the difference of the given expression is

\frac{(x+5)(x+2)}{x^3-9x}

Therefore option \frac{(x+5)(x+2)}{x^3-9x} is correct

8 0
3 years ago
Sarah has a picture that fits a 3 inch wide by 5 inch long picture frame. She wants to make the picture proportionately bigger s
Vadim26 [7]
21
Because wat I say is right
5 0
3 years ago
A japanese beetle has a length between 0.3 and 0.5 inch.find two lengths that are within the given span.express them as a fracti
DanielleElmas [232]
Hello,

One method of finding a value in between two other numbers is taking the average, it will always be between the numbers. To find the average of two numbers, add the numbers and divide it by how many numbers there are. 

In this case, we have:
(0.3) + (0.5) /2 = 0.8 / 2 = 0.4

So, 0.4 is one length that is within the given span.
Another example is 0.45, which is also between 0.3 and 0.5.

0.4 represented as a fraction is 4/10. However, this can be simplified (notice 4 and 10 are both divisible by 2). To simplify this fraction, divide the numerator and denominator of the fraction by 2 to get (4/2) / (10/2) = 2/5.

0.45 represented as a fraction is 45/100. This fraction can also be simplified (notice 45 and 100 are both divisible by 5). To simplify this fraction, divide the numerator and denominator of the fraction by 5 to get (45/5) / (100/5) = 9/20.

Two lengths that are within the span are 2/5 inches and 9/20 inches, both of which are in simplest form.

Hope this helps!
5 0
3 years ago
Can someone help me on a.) and b.) please... Thanks so much!!!
jenyasd209 [6]

Answer:

Step-by-step explanation:s 15 s30 s70

8 0
3 years ago
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